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2121357996600 = 233526157960601
BaseRepresentation
bin11110110111101010110…
…010100011001000111000
321111210121002022211120220
4132313222302203020320
5234224020121342400
64302312144020040
7306156141312153
oct36675262431070
97453532284526
102121357996600
11748732315947
122a3172601620
13125073bb180b
14749622d2c9a
153a2ac2cc7a0
hex1edeaca3238

2121357996600 has 96 divisors (see below), whose sum is σ = 6684016622640. Its totient is φ = 556421760000.

The previous prime is 2121357996599. The next prime is 2121357996601. The reversal of 2121357996600 is 66997531212.

It is an interprime number because it is at equal distance from previous prime (2121357996599) and next prime (2121357996601).

It is a super-2 number, since 2×21213579966002 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121357996601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28943701 + ... + 29016900.

Almost surely, 22121357996600 is an apocalyptic number.

2121357996600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121357996600 is an abundant number, since it is smaller than the sum of its proper divisors (4562658626040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121357996600 is a wasteful number, since it uses less digits than its factorization.

2121357996600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57960681 (or 57960672 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 2121357996600 in words is "two trillion, one hundred twenty-one billion, three hundred fifty-seven million, nine hundred ninety-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3660 4575 6100 7320 9150 12200 18300 36600 57960601 115921202 173881803 231842404 289803005 347763606 463684808 579606010 695527212 869409015 1159212020 1391054424 1449015025 1738818030 2318424040 2898030050 3477636060 3535596661 4347045075 5796060100 6955272120 7071193322 8694090150 10606789983 11592120200 14142386644 17388180300 17677983305 21213579966 28284773288 34776360600 35355966610 42427159932 53033949915 70711933220 84854319864 88389916525 106067899830 141423866440 176779833050 212135799660 265169749575 353559666100 424271599320 530339499150 707119332200 1060678998300 2121357996600